Basic Statistics - Old Questions

2. In Nepal, during the fall harvest season, pumpkins are sold in large quantities at farm stands. Often, instead of weighing the pumpkins prior to sale, the farm stand operators place the pumpkins in the appropriate circular cutout on the counter. When asked why this was done, one farmer replied, 'I can tell the weight of the pumpkin from its circumference.' To determine whether this was really true, a sample of 8 pumpkins' circumferences and weights were measured:

Circumference (cm)	50	55	54	52	37	52	53	47
Weight (gram '00')	12	20	15	17	50	10	15	14

a. Develop the estimating linear regression equation of the weight of the pumpkin to the circumference, and
b. Estimate the weight of a pumpkin if the circumference value is 40 cm. Can it be possible to predict the weight of a pumpkin if its circumference is 80 cm? [10]